1003114125 has 80 divisors (see below), whose sum is σ = 2014220208. Its totient is φ = 493776000.

The previous prime is 1003114117. The next prime is 1003114129. The reversal of 1003114125 is 5214113001.

It can be written as a sum of positive squares in 8 ways, for example, as 302029641 + 701084484 = 17379^2 + 26478^2 .

It is not a de Polignac number, because 1003114125 - 2³ = 1003114117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1003114098 and 1003114107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003114129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 127815 + ... + 135435.

Almost surely, 2^1003114125 is an apocalyptic number.

1003114125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1003114125 is an abundant number, since it is smaller than the sum of its proper divisors (1011106083).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1003114125 is an equidigital number, since it uses as much as digits as its factorization.

1003114125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7661 (or 7642 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1003114125 is about 31671.9769670288. The cubic root of 1003114125 is about 1001.0369659965.

Adding to 1003114125 its reverse (5214113001), we get a palindrome (6217227126).

The spelling of 1003114125 in words is "one billion, three million, one hundred fourteen thousand, one hundred twenty-five".